- adj. Of or pertaining to Johannes Kepler, German astronomer and mathematician.
“Or people like Kepler, who as an astronomer discovered a thing called Keplerian ellipses, which indicates how planets go around the sun and things like that.”
“Which in its turn reminds me of my PhD colleague Nicolas Reeves' work which focuses on the creation of music not only from architectural constructs but also from clouds: "La Harpe à Nuages (1997-2000) is also known as the Keplerian Harp after German astronomer Johannes Kepler (1571-1630), who first came up with the term "music of the spheres".”
“However, even the Keplerian elliptical system is not 100% accurate because of the interplanetary interactions and small relativistic corrections.”
“Researchers from Harvard's Schepens Eye Research Institute are hoping to solve those problems and others with eyeglasses that have much smaller Keplerian telescopes embedded right in the lenses (above right).”
“Perhaps they realised the tropical zodiac and its ecliptic coordinate system is more amenable to mathematical treatment, after all it is used as the as the coordinate system by which the Keplerian elements are applied to calculate planetary positions before converting to RA Dec. see Meeus, Duffet-Smith, JPL-Horizons etc.”
“Unlike our solar system, in which the majority of the matter is contained in the sun, and thus the planets follow Keplerian motion with Mercury having a much faster orbital velocity than Pluto, the luminous matter in spiral galaxies has a high orbital velocity out to the visible edge.”
“Anything appreciably different will send the mass into an elliptical (Keplerian) orbit that avoids the sun.”
“(To illustrate, if the apsidal angle is 180 degrees, as in a Keplerian ellipse, then the exponent in the force law is -2, and if the apsidal angle is 90 degrees, as in an ellipse for which the force center is in the center, the exponent is +1.)”
“The extremely precise results for both the figure of the Earth and the variation of gravity that Newton tabulated in the second and third editions were based on uniform density, and hence, just like Keplerian motion, represented an idealization, departures from which would point to non-uniformities of density.”
“The “clockwork universe” aspect of the Newtonian world view, for example, is not to be found in the Principia; it was added by Laplace late in the eighteenth century, after the success of the theory of gravity in accounting for complex deviations from Keplerian motion became fully evident.”
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